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Finding the Third Proportional to 163,027.69 and 355,016.25

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Solution

The third proportional to 163,027.69 and 355,016.25 is: 773,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,027.69 : 355,016.25 = 355,016.25 : x
  2. Step 2: Convert to fraction form
    163,027.69/355,016.25 = 355,016.25/x
  3. Step 3: Cross multiply
    163,027.69x = 355,016.25 × 355,016.25
  4. Step 4: Simplify right side
    163,027.69x = 126,036,537,764.06
  5. Step 5: Solve for x
    x = 126,036,537,764.06/163,027.69
  6. Step 6: Final answer
    x = 773,098.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.